8825654448 has 480 divisors, whose sum is σ = 29759970240. Its totient is φ = 2415329280.

The previous prime is 8825654447. The next prime is 8825654449. The reversal of 8825654448 is 8444565288.

8825654448 is a `hidden beast` number, since 8 + 8 + 2 + 56 + 544 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (8825654447) and next prime (8825654449).

It is a junction number, because it is equal to n+sod(n) for n = 8825654394 and 8825654403.

It is not an unprimeable number, because it can be changed into a prime (8825654443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67371343 + ... + 67371473.

It is an arithmetic number, because the mean of its divisors is an integer number (61999938).

Almost surely, 2^8825654448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8825654448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879985120).

8825654448 is an abundant number, since it is smaller than the sum of its proper divisors (20934315792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8825654448 is a wasteful number, since it uses less digits than its factorization.

8825654448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 54.

The square root of 8825654448 is about 93944.9543509389. The cubic root of 8825654448 is about 2066.5645402650.

The spelling of 8825654448 in words is "eight billion, eight hundred twenty-five million, six hundred fifty-four thousand, four hundred forty-eight".